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On Antiderivatives of the Zero Function

by R. Michael Range (State University of New York at Albany)

This article originally appeared in:
Mathematics Magazine
December, 2007

Subject classification(s): Calculus | Single Variable Calculus
Applicable Course(s): 3.1 Mainstream Calculus I

The author discusses an intuitive direct proof of the fact that functions with zero derivative must be constant, which turns into a rigorous proof by simply invoking the completeness of the real numbers.

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Capsule Course Topic(s):
One-Variable Calculus | Antidifferentiation
One-Variable Calculus | Theoretical Issues
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